New iteration algorithms for an asymptotically nonexpansive mapping |
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| Authors: | Xinkuan Chai Yisheng Song |
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| Affiliation: | 1. College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, P.R. China
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| Abstract: | Under the framework of a real Banach space with an uniformly Gâteaux differentiable norm, two new iteration algorithms are introduced to obtain strong convergence to a fixed point of an asymptotically nonexpansive mapping. Furthermore, the proof technique is independent of the implicit iteration-path. |
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